An atom interferometer (AI) in a Mach-Zehnder configuration uses a sequence of three light pulses to measure different inertial quantities such as the local gravity, gravity gradients and rotations [1]}. Excluding sensitivity to rotations by assuming a vertical motion of the atoms, the differential phase shift acquired between the two interferometer paths as a response to an acceleration \(\vec{a}\)  is proportional to the enclosed space-time area:
\(\Delta \phi =\vec{k}_\mathrm {eff}\cdot \vec{a} \,T^2\; ,\) 
